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Finding the Fourth Proportional to 2,969.91, 4,098.47 and 1,643.63

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Solution

The fourth proportional to 2,969.91, 4,098.47 and 1,643.63 is: 2,268.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,969.91 : 4,098.47 = 1,643.63 : x
  2. Step 2: Convert to fraction form
    2,969.91/4,098.47 = 1,643.63/x
  3. Step 3: Cross multiply
    2,969.91x = 4,098.47 × 1,643.63
  4. Step 4: Simplify right side
    2,969.91x = 6,736,339.54
  5. Step 5: Solve for x
    x = 6,736,339.54/2,969.91
  6. Step 6: Final answer
    x = 2,268.20

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.